Laguerre function spectral collocation method for the initial-boundary value problem of the Burgers equation
Using Laguerre-Gauss nodes as collocation points,the spectral collocation method is applied to obtain the numerical solution of the Burgers equation with initial-boundary conditions.The Crank-Nicolson scheme is employed for time discretization and the algorithm's formulation is provided.The effectiveness and high precision of the algorithm scheme are demonstrated by numerical calculation.
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